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Finding the Fourth Proportional to 65,369.92, 98,041.97 and 17,972.78

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Solution

The fourth proportional to 65,369.92, 98,041.97 and 17,972.78 is: 26,955.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,369.92 : 98,041.97 = 17,972.78 : x
  2. Step 2: Convert to fraction form
    65,369.92/98,041.97 = 17,972.78/x
  3. Step 3: Cross multiply
    65,369.92x = 98,041.97 × 17,972.78
  4. Step 4: Simplify right side
    65,369.92x = 1,762,086,757.58
  5. Step 5: Solve for x
    x = 1,762,086,757.58/65,369.92
  6. Step 6: Final answer
    x = 26,955.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.